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Capstone Feb 21 - 27 25 questions
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Monday 21 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 5.6x

    Answer: (x + 2.8)² - 7.84
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 21cm, angle = 45°

    Answer: 96.5cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 4:3. Find a:b:c.

    Answer: 3:4:3
  5. 5. Statistics

    Find the mean, median and range of: 16, 77, 62, 92, 58, 14, 49, 90

    Answer: Mean = 57.3, Median = 62, Range = 78

Tuesday 22 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5.8x

    Answer: (x + 2.9)² - 8.41
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 24cm, angle = 51°

    Answer: 167.9cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 1:3. Find a:b:c.

    Answer: 2:4:12
  5. 5. Statistics

    Find the mean, median and range of: 59, 41, 43, 66, 74, 80, 33, 39

    Answer: Mean = 54.4, Median = 59, Range = 47

Wednesday 23 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 3.6x

    Answer: (x + 1.8)² - 3.24
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 13cm, angle = 54°

    Answer: 136.7cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 3:4. Find a:b:c.

    Answer: 2:3:4
  5. 5. Statistics

    Find the mean, median and range of: 11, 49, 46, 44, 42, 23, 91, 95, 11

    Answer: Mean = 45.8, Median = 44, Range = 84

Thursday 24 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2.8x

    Answer: (x + 1.4)² - 1.96
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 14cm, angle = 42°

    Answer: 60.9cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 1:2. Find a:b:c.

    Answer: 2:3:6
  5. 5. Statistics

    Find the mean, median and range of: 52, 13, 13, 34, 13, 40, 39, 73

    Answer: Mean = 34.6, Median = 39, Range = 60

Friday 25 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 30cm, angle = 49°

    Answer: 339.6cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 3:4. Find a:b:c.

    Answer: 4:3:4
  5. 5. Statistics

    Find the mean, median and range of: 34, 48, 74, 16, 99, 44, 63, 77, 66

    Answer: Mean = 57.9, Median = 63, Range = 83